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Finding the Fourth Proportional to 242,173.98, 363,064.14 and 84,513.15

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Solution

The fourth proportional to 242,173.98, 363,064.14 and 84,513.15 is: 126,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,173.98 : 363,064.14 = 84,513.15 : x
  2. Step 2: Convert to fraction form
    242,173.98/363,064.14 = 84,513.15/x
  3. Step 3: Cross multiply
    242,173.98x = 363,064.14 × 84,513.15
  4. Step 4: Simplify right side
    242,173.98x = 30,683,693,806.52
  5. Step 5: Solve for x
    x = 30,683,693,806.52/242,173.98
  6. Step 6: Final answer
    x = 126,701.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.